Now we want to place these 100 marbles in 2 jars to maximize the probability of red marble pick.
If you have 2 jars with 1000 blue marbles.
You can arrange the marbles however you like but each marble must be in.
One of the jars is chosen at random and then one marble will be chosen from that jar at random.
I don t agree with your solution.
You need to place all the marbles into the jars such that when you blindly pick one marble out of one jar you maximize the chances that it will be red.
One of the jars will be chosen at random.
You have 50 red marbles 50 blue marbles and 2 jars.
Interview candidate on jan 2 2013.
We have 2 jars and not 1.
You have 2 jars 10 red marbles 40 blue marbles.
Additionally the other jar will have 1000 x blue marbles in it.
When picking you ll first randomly pick a jar and then randomly pick a marble out of that jar.
Each jar can hold 100 marbles.
If you still don t believe it go buy 2000 marbles and try it yourself.
Jar 1 300 red and 700 white.
You need to place all the marbles into the jars such that when you blindly pick one marble out of one jar you maximize the chances that it will be red.
Probability of selecting any one jar is 1 2.
We calculate the probability of obtaining a red a blue and a green marbles.
You must place all 100 marbles in the jars.
When picking you ll first randomly pick a jar and then randomly pick a marble out of that jar.
How would you maximize the chance of drawing a red marble.
You have two jars 50 red marbles and 50 blue marbles.
In other words you get to take 2 measurements or comparisons here.
10 green and 990 white.
You have two jars 50 red marbles and 50 blue marbles.
All 100 marbles should be placed in the jars.
Total 100 marbles out of which 50 are red and 50 are blue coloured.
Jar 3 500 green and 500 white.
So the ratio of blue to red in one jar is the inverse of the other.
3 you are allowed to use set the scale twice in total.
For jar 2 we have that.
600 red and 400 white jar 2.
Then 1 marble will be withdrawn from that jar at random.
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You need to place all the marbles into the jars such that when you blindly pick one marble out of one jar you maximize the chances that it will be red.
For jar 1 we have that.
You have three jars containing marbles as follows.
Seems tricky at first right.
4 each bucket has enough room for multiple marbles.
Jar 2 20 blue and 980 white.
As long as you have the same number of marbles in each side the heavy marble has just enough weight to tip the scale to its side.
900 blue and 100 white jar 3.
You can decide how many and what marbles to be placed in each of the jars.
You have 3 jars containing marbles as follows.
When picking you ll first randomly pick a jar and then randomly pick a marble out of that jar you can arrange the marbles however you like but each marble must be in a jar.
You have two jars and hundred marbles.
We conclude that each jars have 1000 marbles.